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Finding the Fourth Proportional to 15,899.92, 23,929.63 and 11,971.53

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Solution

The fourth proportional to 15,899.92, 23,929.63 and 11,971.53 is: 18,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.92 : 23,929.63 = 11,971.53 : x
  2. Step 2: Convert to fraction form
    15,899.92/23,929.63 = 11,971.53/x
  3. Step 3: Cross multiply
    15,899.92x = 23,929.63 × 11,971.53
  4. Step 4: Simplify right side
    15,899.92x = 286,474,253.51
  5. Step 5: Solve for x
    x = 286,474,253.51/15,899.92
  6. Step 6: Final answer
    x = 18,017.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.